Air at a free stream temperature of = 20 is in parallel flow over a flat plate of length L = 2 m and temperature Ts = 50 . However, obstacles placed in the flow intensify mixing with increasing distance x from the leading edge, and the spatial variation of temperatures measured in the boundary layer is correlated by an expression of the form () = + *exp(-cxy), where x and y are in meters. Determine and plot the manner in which the local convection coefficient h varies with x. Evaluate the average convection coefficient for the plate. Consider a =10 ; b = 50 ; and c = 500 (1/m2 ).